Home / 2,102.11-3,157.75-1,806.86

Finding the Fourth Proportional to 2,102.11, 3,157.75 and 1,806.86

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Solution

The fourth proportional to 2,102.11, 3,157.75 and 1,806.86 is: 2,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.11 : 3,157.75 = 1,806.86 : x
  2. Step 2: Convert to fraction form
    2,102.11/3,157.75 = 1,806.86/x
  3. Step 3: Cross multiply
    2,102.11x = 3,157.75 × 1,806.86
  4. Step 4: Simplify right side
    2,102.11x = 5,705,612.17
  5. Step 5: Solve for x
    x = 5,705,612.17/2,102.11
  6. Step 6: Final answer
    x = 2,714.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.